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Finding the Fourth Proportional to 83,681, 125,513.40 and 31,090.40

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Solution

The fourth proportional to 83,681, 125,513.40 and 31,090.40 is: 46,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,681 : 125,513.40 = 31,090.40 : x
  2. Step 2: Convert to fraction form
    83,681/125,513.40 = 31,090.40/x
  3. Step 3: Cross multiply
    83,681x = 125,513.40 × 31,090.40
  4. Step 4: Simplify right side
    83,681x = 3,902,261,811.36
  5. Step 5: Solve for x
    x = 3,902,261,811.36/83,681
  6. Step 6: Final answer
    x = 46,632.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.